Question No$.1$: $[20$ points$]$

If the switch to the capacitor bank shown is closed, find the real, reactive, and apparent powers in the system. Find the total current supplied to the distribution system by the utility.

HINT: $P=\frac{3v_{}^3}{|z_{}|}cos,Q=\frac{3V_{}^3}{|z_{}|}sin,S=\sqrt[\phantom{2}]{P^2+Q^2}$

SOLUTION:

Load $1($Delta connected$)$ Power:

Phase voltage at Load $1V_{}=?$

V

$P_1=$

$Q_1=?$

kVA

Load $2($Wye connected$)$ Power:

$11/19/2024$

FDU

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$I_L=\frac{S_{\text{T}\text{o}\text{t}\text{a}\text{l}}}{\sqrt[\phantom{2}]{3}{V}_T}=$

A